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4 years ago

Is is square root of 9.227 a rational number

Mathematics

1 answer:

Naya [18.7K]4 years ago

4 0

Answer:

Step-by-step explanation:

the square root of 9.227 is a repeating decimal that is irrational

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The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift.

garik1379 [7]

Answer:

The probability that X is less than 32 minutes is 0.736.

Step-by-step explanation:

Given : The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift. If X has an average value of 24 minutes.

To find : What is the probability that X is less than 32 minutes?

Solution :

If X has an average value of 24 minutes.

i.e. $\lambda=24$

The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift.

The exponentially function is $\frac{1}{\lambda}e^{-\frac{x}{\lambda}}$

The function form according to question is

$f(x)=\{\frac{1}{24}e^{-\frac{x}{24}}, x>0\}$

The probability that X is less than 32 minutes is

$P[x$

Therefore, the probability that X is less than 32 minutes is 0.736.

7 0

3 years ago

Solve the inequality 9(x - 3) < 4(x + 10).

disa [49]

X<67/5 :) do u need the work or nah

7 0

3 years ago

Read 2 more answers

The ratio of the measure of the acute angle in a right triangle is 1/2 . Find the measures of the two angles

AleksandrR [38]

30° and 60°.

<h3>Further explanation</h3>

We will solve the problem of the measures of angles in the triangle.

Recall this condition:

The acute angle ⇒ an angle of less than 90°.
The right angle ⇒ an angle of exactly 90°.
A right triangle ⇒ a triangle in which one angle is a right angle.
The interior angles ⇒ the angles inside a triangle.
All the interior angles in a triangle , i.e., $\boxed{ \ \angle A + \angle B + \angle C = 180^0 \ }$

<u>Given that:</u>

The ratio of the measure of the acute angle in a right triangle is ¹/₂.

<u>Question:</u>

Find the measures of the two angles.

<u>The Process:</u>

We call it the triangle ABC. An interior angle inside is a right angle, e.g., ∠A = 90°.

From the ratio of two other acute angles, i.e., 1: 2, we call it ∠B = x and ∠C = 2x.

Let's arrange the three angles in ABC triangle as follows:

$\boxed{ \ 90^0 + x + 2x = 180^0 \ }$

Both sides subtracted by 90°.

$\boxed{ \ x + 2x = 180^0 - 90^0 \ }$

$\boxed{ \ 3x = 90^0 \ }$

Both sides divided by 3.

We get $\boxed{ \ x = 30^0 \ }$

We substitute the value of x back into B and C.

$\boxed{\boxed{ \ \angle B = x\ } \rightarrow \boxed{ \ \angle B = 30^0 \ }} \\\boxed{\boxed{ \ \angle C = 2x\ } \rightarrow \boxed{ \ \angle C = 60^0 \ }}$

We have succeeded in getting the measures of the two angles.

<h3>Learn more</h3>

Undefined terms needed to define angles brainly.com/question/3717797
What is 270° converted to radians brainly.com/question/3161884
A triangle is rotated 90° about the origin brainly.com/question/2992432

Keywords: the ratio, the measure, the acute angle, a right triangle, 1/2, 180°, 90°, 30°, 60°, the interior angles

4 0

3 years ago

Read 2 more answers

-natural numbers are _____ (always, sometimes, never) integers

bogdanovich [222]

Answer:

always

never

always

sometimes

8 0

4 years ago

PLEASE HELP I’ll give brainliest (no links. I’ll report you)

vitfil [10]

Answer:

3m² + 7m - 6

Step-by-step explanation:

2m (3/2m + 1) + 3(5/3m - 2)

(3m² + 2m) + (5m - 6)

3m² + 2m + 5m - 6

3m² + 7m - 6

4 0

3 years ago